(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For any positive integern, let U(n) be the group of all positive integers less than n and relatively prime to n, under multiplication modulo n. Show the the Groups U(5) and u(10) are isomorphic

2. Relevant equations

3. The attempt at a solution

any 2 cyclic groups of the same size have to be isomorphic.

For the answer to this problem should i do out a caley table for both groups to show they are cyclic? is this enough along with my statement? i guess what im saying is...does the question ask me to prove that 2 cyclic groups of the same size are isomorphic?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Isomorphic groups

**Physics Forums | Science Articles, Homework Help, Discussion**